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abelian extension

field extension whose Galois group is abelian
Class type of: Galois extension Q318705

Facts

5 properties
Instance of
mathematical concept
Subclass of
Galois extension[3]
Has characteristic
commutative property[4]
Maintained by WikiProject
WikiProject Mathematics[5]
Named after
abelian group[2]
🏷️ Also known as
en abelian extension en Abelian number field da abelske udvidning de abelsche Erweiterung el Αβελιανή επέκταση es extensión abeliana es extension abeliana fr extension abelienne fr extension abélienne it estensione abeliana ja アーベル拡大 ko 아벨 확대 nl abelse uitbreiding pl rozszerzenie abelowe pt extensão abeliana ru абелево расширение sv Abelsk utvidgning tr Abel genişlemesi uk абелеве розширення zh 阿貝爾擴展
🔖 Identifiers · 5
OpenAlex ID
C57637645
Encyclopedia of Mathematics article ID
Abelian_extension
Freebase ID
/m/017kg7
MathWorld ID
AbelianExtension
Microsoft Academic ID (discontinued)
57637645

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Created notable works 1
Niels Henrik Abel
Has characteristic 1
commutative property
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
abelian group
Subclass of 1
Galois extension
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Summary

abelian extension is a mathematical concept[1].

Related Entities

Niels Henrik Abel

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). abelian extension. Retrieved November 3, 2026, from https://4ort.xyz/entity/abelian-extension
MLA “abelian extension.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 Nov. 2026, https://4ort.xyz/entity/abelian-extension.
BibTeX @misc{4ortxyz_abelian-extension_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{abelian extension}}, year = {2026}, url = {https://4ort.xyz/entity/abelian-extension}, note = {Accessed: 2026-11-03}}
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